Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [6, 12, 6, 8, 6], 'aut_gens': [[14386070169, 7672776605, 20773152734], [6314288405, 12545301009, 21088812974], [59118635525, 8797829769, 51931812245], [51991683129, 58613522414, 7678677005], [59575270454, 57975568569, 52909039454], [13905684014, 58456500609, 52865131085]], 'aut_group': '460800.bo', 'aut_hash': 1673116337738338913, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 460800, 'aut_permdeg': 320, 'aut_perms': 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20300733636529429203902232606038876829369391396196122912796887295014979709166123619548763778540889732709786474923069968372054118664442327341989969720300749275582618699828561303537626773565565955536550808256726328171114158741841221542267705285896794092998660346636992423965375932925770395040909298159846826965793502542679431179913244668058345645369673341647142022305621696767992790277977614269292296822117336718950331365072216356675611105912322856050285943929444445679339776640640951857442132330493746034373152944656702334426363348535084093606548408342049625134500396819696867314866742423496348213882553668912717860496437570998489546145954310532280454477749206533356], 'aut_phi_ratio': 15.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 20, 4, 1], [2, 30, 1, 2], [2, 30, 2, 1], [2, 100, 2, 1], [2, 200, 1, 1], [2, 225, 1, 2], [2, 240, 1, 1], [2, 300, 4, 1], [2, 450, 1, 1], [3, 40, 1, 1], [3, 400, 1, 1], [4, 60, 4, 1], [4, 240, 1, 1], [4, 600, 2, 2], [4, 900, 2, 1], [4, 900, 4, 1], [4, 1800, 1, 1], [4, 2400, 2, 1], [4, 3600, 1, 2], [5, 48, 1, 1], [5, 576, 1, 1], [6, 40, 1, 1], [6, 40, 2, 1], [6, 40, 4, 1], [6, 400, 1, 1], [6, 400, 2, 3], [6, 400, 4, 1], [6, 600, 1, 2], [6, 600, 2, 1], [6, 600, 4, 1], [6, 800, 1, 2], [6, 800, 4, 1], [6, 4800, 1, 1], [8, 7200, 2, 1], [10, 48, 1, 1], [10, 48, 2, 1], [10, 480, 4, 1], [10, 576, 1, 1], [10, 720, 1, 2], [10, 720, 2, 1], [10, 1152, 1, 1], [10, 5760, 1, 1], [12, 1200, 2, 2], [12, 1200, 4, 1], [12, 4800, 1, 1], [12, 4800, 2, 1], [15, 960, 1, 1], [20, 1440, 4, 1], [20, 5760, 1, 1], [30, 960, 1, 1], [30, 960, 2, 1], [30, 960, 4, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_2\\times A_5^2).D_4^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 120, 'autcentquo_group': '57600.l', 'autcentquo_hash': 3328040073188890159, 'autcentquo_nilpotent': False, 'autcentquo_order': 57600, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_5^2:C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 20, 4], [2, 30, 4], [2, 100, 2], [2, 200, 1], [2, 225, 2], [2, 240, 1], [2, 300, 4], [2, 450, 1], [3, 40, 1], [3, 400, 1], [4, 60, 4], [4, 240, 1], [4, 600, 4], [4, 900, 6], [4, 1800, 1], [4, 2400, 2], [4, 3600, 2], [5, 48, 1], [5, 576, 1], [6, 40, 7], [6, 400, 11], [6, 600, 8], [6, 800, 6], [6, 4800, 1], [8, 7200, 2], [10, 48, 3], [10, 480, 4], [10, 576, 1], [10, 720, 4], [10, 1152, 1], [10, 5760, 1], [12, 1200, 8], [12, 4800, 3], [15, 960, 1], [20, 1440, 4], [20, 5760, 1], [30, 960, 7]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '57600.l', 'commutator_count': 1, 'commutator_label': '14400.ca', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '60.5', '60.5'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 4, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 20, 1, 4], [2, 30, 1, 4], [2, 100, 1, 2], [2, 200, 1, 1], [2, 225, 1, 2], [2, 240, 1, 1], [2, 300, 1, 4], [2, 450, 1, 1], [3, 40, 1, 1], [3, 400, 1, 1], [4, 60, 1, 4], [4, 240, 1, 1], [4, 600, 1, 4], [4, 900, 1, 6], [4, 1800, 1, 1], [4, 2400, 1, 2], [4, 3600, 1, 2], [5, 48, 1, 1], [5, 576, 1, 1], [6, 40, 1, 7], [6, 400, 1, 11], [6, 600, 1, 8], [6, 800, 1, 6], [6, 4800, 1, 1], [8, 7200, 1, 2], [10, 48, 1, 3], [10, 480, 1, 4], [10, 576, 1, 1], [10, 720, 1, 4], [10, 1152, 1, 1], [10, 5760, 1, 1], [12, 1200, 1, 8], [12, 4800, 1, 3], [15, 960, 1, 1], [20, 1440, 1, 4], [20, 5760, 1, 1], [30, 960, 1, 7]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 120, 'exponents_of_order': [9, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[8, 1, 8], [10, 1, 8], [12, 1, 4], [32, 1, 4], [40, 1, 8], [48, 1, 4], [50, 1, 4], [60, 1, 4], [72, 1, 1]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '57600.l', 'hash': 8438217488598235417, 'hyperelementary': 1, 'id': 137534, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 120, 'inner_gen_orders': [4, 8, 4], 'inner_gens': [[14386070169, 15023731814, 58199112845], [6398100138, 7672776605, 14490337694], [58217248218, 52948355885, 20773152734]], 'inner_hash': 3328040073188890159, 'inner_nilpotent': False, 'inner_order': 57600, 'inner_split': True, 'inner_tex': 'S_5^2:C_2^2', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 6], [8, 16], [10, 16], [12, 8], [16, 8], [25, 8], [32, 6], [36, 4], [40, 16], [48, 8], [50, 6], [60, 8], [72, 1]], 'label': '115200.d', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'S5^2:D4', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 65, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 119, 'number_divisions': 119, 'number_normal_subgroups': 29, 'number_subgroup_autclasses': 4913, 'number_subgroup_classes': 14962, 'number_subgroups': 5371298, 'old_label': None, 'order': 115200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 2943], [3, 440], [4, 22080], [5, 624], [6, 19080], [8, 14400], [10, 12432], [12, 24000], [15, 960], [20, 11520], [30, 6720]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [0, 0], 'outer_gens': [[14386070169, 7672776614, 20773152734], [14386070174, 7672776609, 20773152734]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [1, 22], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [8, 16], [10, 16], [12, 8], [16, 8], [25, 8], [32, 6], [36, 4], [40, 16], [48, 8], [50, 6], [60, 8], [72, 1]], 'representations': {'Perm': {'d': 14, 'gens': [14386070169, 7672776605, 20773152734]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 720, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'S_5^2:D_4', 'transitive_degree': 20, 'wreath_data': ['C_2\times S_5', 'C_2', '2T1'], 'wreath_product': True}